Answer:
27x^3+48x^2-99x
Step-by-step explanation:
The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
Two rectangular box are shown in the picture.
The volume of the rectangular box = length×width×height
The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)
After simplification:
= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x
= 27x³ + 48x² - 99x
Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.
Learn more about the rectangular prism here:
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Is the value of these expressions the same?
Explain.
4 x 6 - 4
4 x (6-4)
Answer:
24-4= 20
4×2= 8
Step-by-step explanation:
4 by 6 is 24 minus 4
6-4 is 2 by 4 is 8
Answer:
no
Step-by-step explaination:
first equation: well, you first do 4x6, witch is 24, then you subtract the 4, witch is: 4x6=24, 24-4= 20
second equation: since 6-4 are in bracets, you do that sum first, witch is equal to 2, then you multiply that result by 4, witch is 8, conclusion: (6-4)=2, 2x4=8
answere: 20 deos not equal to 8, so, no.
(sorry if my explaination is bad, im new here)
How many terms are in the expression? 4x+3x-2y,3y?
If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour
Answer:
the answer is 1 whole and 1/2
Step-by-step explanation:
1 and 1/2
What happens to the copy when it is created with a scale factor greater than 1? Less than
1? Exactly 1?
Answer:
When a figure is scaled by a scale factor greater than 1, the copy is larger than the original. When the scale factor is less than 1, the copy is smaller. This means that triangles and are scaled copies of each other.
Step-by-step explanation:
Which of the following expressions are equivalent to this expression: -1(0) = ?
-1[4 + (-4)]
-1[4 + (4)]
1 + [4 + (-4)]
-11-4+ (-4)]
Answer:
a
Step-by-step explanation:
trust
Answer:
A
Step-by-step explanation:
Write the relation as a set of ordered pairs.
Answer:
D.) ordered pairs : {(1,-1),(2,0), (3,1)}
-4C - 6 - 3 + 2c - 60 + 15
Answer:
-2x -54 here is the answer
Find two rational number and two irrational number between 1 /3 and 1 / 4
Answer:
Step-by-step explanation:
1/3 and 1/4
LCM=12
1/3*4/4 and 1/4*3/3
4/12 and 3/12
4/12*10/10 and 3/12*10/10
40/120 and 20/120
=33/130,38/120.............etc
What is the answer to (10^4)(5^2)^3 divided by (10^3)(5^3)
Answer:
19531250
By divided it
combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?
Answer:
23x-40
Step-by-step explanation:
(-5x10) (-2x-5)
v
-5(3x+10)-2(4x-5)
v v v v
-15x -50 -8x 10
combine like terms
-15x-8x= 23x ( 2 negatives make a positive)
-50+10= -40
23x-40
-2(3a^4) simplify using the laws of exponents
Answer:
-6a^5
Step-by-step explanation:
pls give me brainliest
If he watches all the movies that are 1 3/4 hours long how long will it take
Find the distance between (-8,-2) and (6,-1)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{196 + 1}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}} [/tex]
Hope I helped!
Best regards! :D
If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b
Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
If you count to 100 by 2, how many numbers will you say?
Answer:
If you start at 0, 51. If you start with 2, 50.
Step-by-step explanation:
The amount of numbers that will be said are simply 100/2 which is 50 since counting by two is the same as the amount of even numbers up to 100. If you start at 0, simply add an additional count, making 51.
Cheers.
Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, by what factor was the first rectangle changed?
Answer:
3.2
Step-by-step explanation:
3.2/1
I don’t know the answer to 7+x=12 it is pre algebra please help me
Answer:
Answer down below!! :))
Step-by-step explanation:
For this problem, we need to ask ourselves, 7 plus what gives us 12?
7 + 5 = 12
So, therefore, X = 5
Answer:
x=5
Step-by-step explanation:
7+x=12
Minus both sides by 7
7+x=12
-7 -7
=0 =5
drop the x
x=5
I hope i could be of help to you! You're Welcome!
If these numbers represent temperatures in degrees Celsius, the coldest is
?
7, -3, 1/2, -0.8, 0.8,
-2,-1/10
Answer:
-3
Step-by-step explanation:
it is the smallest number on a number line which is kind of what a thermometer is
Answer:
It is -3 because I took the assignment test.
Step-by-step explanation:
The person who answered the question before me is correct.
Which of the following are coplanar??
Answer:
Points T, R and Q are coplanar
Step-by-step explanation:
They are all lying on plane P
If 2x-3y+5-(x-3y)=11-2x, what is the value of x?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]
Remove brackets and flip the sign in the brackets:
[tex]2x-3y+5-x+3y=11-2x[/tex]
Group the similar terms together:
[tex]-3y+3y+2x-x+5=11-2x[/tex]
Add/subtract the terms:
[tex]x+5=11-2x[/tex]
Subtract 5 from both sides:
[tex]x+5-5=11-2x-5[/tex]
[tex]x=-2x+6[/tex]
Add 2x to both sides:
[tex]x+2x=-2x+6+2x[/tex]
[tex]3x=6[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
When Bryan was 11 years old he was 150.25 centimeters tall. For the next 4 years, he grew 65 centimeters a year. How tall was Bryan when he was 15 years old? Help PLEASE
Step-by-step explanation:
He grew 65cm a year??? Omg
I think it is
65cm x 4(years)= 260cm
150.25 + 260= 410.25cm
So, when he was 15 years old he was 410.25cm tall
what is 143x+4=12 please help
show the work on how to answer -3|x|=-24
Answer:
x=8 x=-8
Step-by-step explanation:
-3|x|=-24
Divide each side by -3
-3|x|/-3=-24/-3
|x|=8
There are 2 solutions a positive and a negative
x=8 x=-8
help meeeeeeeeeeeeeeeee plz
Answer:
a 10.21
Step-by-step explanation:
because 20 - 9.79 = 10.21
Answer:
the ans in the third one,
10.21, it shows the change
Step-by-step explanation:
20.00=c+9.79
so Pablo has 20.00 and he has to use 9.79
so if u add the change and the money he has to use, will be the money he has right now
so c = the change
so...
20.00=c+9.79
20.00-9.79=c
(so if u subtract the amount of money pablo has to pay from the money he has will be the change he will get)
10.21=c
Can you please help me on 2,3,4, and 5? I will mark the brainliest plus 12 points for answering.
Answer:
2) Exact
3) Exact
4) Exact
5) Approximation
Step-by-step explanation:
HELP PLZZZZZZZZZZZZZZZ!!!!!!! ASAP
The graph represents the number, in millions, of farmers with small farms in the United States since the year 1935.
Which statement about the exponential function represented on the graph is true?
A.) Initially, there were about 660,000 farmers and the growth rate is positive.
B.) Initially, there were about 660,000 farmers and the growth rate is negative.
C.) Initially, there were about 6,600,000 farmers and the growth rate is positive.
D.) Initially, there were about 6,600,000 farmers and the growth rate is negative.
Answer: The answer is D Alpha
You very welcome alpha
Answer:
D
There were about 6,600,000 farmers and the growth rate is negative
Need help please. Please help me.
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
It's important to note here that fractions are just another way of representing division.
Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].
To divide two fractions, we multiply by the reciprocal.
[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]
We can now multiply the numerators and denominators.
[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]
We can simplify this fraction by dividing both the numerator and denominator by 2.
[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]
So, [tex]\frac{5}{14}[/tex].
Hope this helped!
The scale drawing of a rectangular city park measures 10.0 cm by 5.0 cm. The scale of the drawing is 1.0 cm = 4.5 m. What is the area, in square meters, of the park?
Answer:
2250m^2Step-by-step explanation:
In this exercise, we are going to be converting from cm to m, since we are asked to provide our answers in meters
Given that the scale is 1.0 cm = 4.5 m
let us convert the 10cm to the actual length
1 cm------4.5m
10 cm------x
x= 4.5*10
x= 45m
Also for the 5 cm
1 cm------4.5m
5 cm------x
x= 5*10
x= 50m
Hence the area of the actual rectangular park is
45*50= 2250m^2
Which fraction is not in simplest form?
10/21
It would be the last bubble, 4/6
hope I helped ya
What does it mean when a function is one-to-one?
Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.